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koban [17]
3 years ago
12

Solve Ax+Hy=K for x Help!

Mathematics
1 answer:
denis23 [38]3 years ago
3 0

Answer:

x = -\frac{Hy + K}{A}

Step-by-step explanation:

Step 1: Add -Hy to both sides.

  • Ax + Hy - Hy = K - Hy
  • Ax = -Hy + K

Step 2: Divide both sides by A.

  • \frac{Ax}{A} = \frac{-Hy+K}{A}
  • x = -\frac{Hy+K}{A}
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Suppose a random sample of 100 observations from a binomial population gives a value of pˆ = .63 and you wish to test the null h
irakobra [83]

Answer:

We conclude that the population proportion is equal to 0.70.

Step-by-step explanation:

We are given that a random sample of 100 observations from a binomial population gives a value of pˆ = 0.63 and you wish to test the null hypothesis that the population parameter p is equal to 0.70 against the alternative hypothesis that p is less than 0.70.

Let p = <u><em>population proportion.</em></u>

(1) The intuition tells us that the population parameter p may be less than 0.70 as the sample proportion comes out to be less than 0.70 and also the sample is large enough.

(2) So, Null Hypothesis, H_0 : p = 0.70      {means that the population proportion is equal to 0.70}

Alternate Hypothesis, H_A : p < 0.70      {means that the population proportion is less than 0.70}

The test statistics that would be used here <u>One-sample z-test</u> for proportions;

                           T.S. =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~  N(0,1)

where, \hat p = sample proportion = 0.63

            n = sample of observations = 100

So, <u><em>the test statistics</em></u>  =  \frac{0.63-0.70}{\sqrt{\frac{0.70(1-0.70)}{100} } }

                                     =  -1.528

The value of z-test statistics is -1.528.

<u>Now at 0.05 level of significance, the z table gives a critical value of -1.645 for the left-tailed test.</u>

Since our test statistics is more than the critical value of z as -1.528 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u><em>we fail to reject our null hypothesis</em></u>.

Therefore, we conclude that the population proportion is equal to 0.70.

(c) The observed level of significance in part B is 0.05 on the basis of which we find our critical value of z.

4 0
3 years ago
N ∆ABC, if sin A = and tan A = , then what is cos A?
leva [86]

Answer:hello :

tanA = sinA/cosA

cosA = sinA /tanA

cosA =(4/5)/(4/3)

cosA=3/5

Step-by-step explanation:

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3 years ago
What is the value of w in the following proportion?
Ghella [55]

Answer:

im pretty sure its c

Step-by-step explanation:

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7 0
3 years ago
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alexdok [17]

Answer:

x = 18

A = 110

Step-by-step explanation:

Angles A and B are supplementary angles so they add to 180 degrees

A + B = 180

5x+20 + 9x -92 = 180

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14x -72 = 180

Add 72 to each side

14x-72+72 = 180+72

14x = 252

Divide each side by 14

14x/14 = 252/14

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A and B.
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